I just asked someone who has gone through getting the visa transferred from an old to new passport. As Edd says, it is a hassle, and you’d probably want to hire an attorney or visa facilitator to help you. You’ll need to provide notarized copies of your passport, cedula, “migratorio” from the police, a letter requesting the transfer, copies of your real estate deed or a letter from the bank stating that your CD is still valid and still with the central bank (depending on which visa you have), 2 photos, and if you’re hiring an attorney or facilitator you’ll need to give them power of atty. and pay for their services as well as the $60 transfer fee.
And all this could change tomorrow…. renew your passport before you leave home. 🙂